Free surface flow over a trapezoidal cavity with surface tension effect

Abdelkader  Laiadi

doi:10.59400/jam2311

Free surface flow over a trapezoidal cavity with surface tension effect

Abdelkader Laiadi VSC laboratory of Electrical Engineering, Biskra University, Biskra 7000, Algeria

Article ID: 2311

DOI: https://doi.org/10.59400/jam2311

Keywords: free surface flow; potential flow; Weber number; surface tension

Abstract

This paper investigates two-dimensional free surface flows over a trapezoidal cavity in a fluid with finite depth. By assuming that the flow is steady, irrotational, and that the fluid is non-viscous and incompressible. We suppose that the surface tension is included in the nonlinear boundary condition derived from Bernoulli’s equation. A numerical approach using the series truncation method is employed to solve the problem. Solutions are computed for a symmetric trapezoidal obstacle for each value of the Weber number and the height of obstacle. The influence of the Weber number, the bottom height, and the angle of the obstacle are discussed.

Published

2025-05-20

How to Cite

Laiadi, A. (2025). Free surface flow over a trapezoidal cavity with surface tension effect. Journal of AppliedMath, 3(3), 2311. https://doi.org/10.59400/jam2311

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Vol. 3 No. 3 (2025)

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Article

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Prof. Ahmad Zeeshan

International Islamic University, Pakistan

Dr. Nehad Ali Shah

Sejong University, Korea

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